Saga of Superfluid Solids

Abstract

The article presents the state-of-the-art and reviews the literature on the long-standing problem of the possibility for a sample to be at the same time solid and superfluid. Theoretical models, numerical simulations, and experimental results are discussed.

arXiv commentLatex file, 26 pages

References in corpus (74)

• How to detect fluctuating order in the high-temperature superconductors
• Three-dimensional Roton-Excitations and Supersolid formation in Rydberg-excited Bose-Einstein Condensates
• Transient supersolid properties in an array of dipolar quantum droplets
• Supersolids: what and where are they ?
• Long-lived and transient supersolid behaviors in dipolar quantum gases
• Low Temperature Shear Modulus Changes in Solid 4-He and Connection to Supersolidity
• Supersolid symmetry breaking from compressional oscillations in a dipolar quantum gas
• The low-energy Goldstone mode in a trapped dipolar supersolid
• Absence of supersolidity in solid helium in porous Vycor glass
• Luttinger Liquid in the Core of Screw Dislocation in Helium-4
• Superglass Phase of Helium-four
• On the Supersolid State of Matter
• Oscillation Frequency Dependence of Non-Classical Rotation Inertia of Solid ${}^4$He
• Superfluidity of Grain Boundaries in Solid Helium-4
• Ring exchanges and the supersolid phase of 4He
• Observation of Unusual Mass Transport in Solid hcp 4He
• The fate of vacancy-induced supersolidity in 4He
• Pressure-driven flow of solid helium
• Observation of non-classical rotational inertia in bulk solid 4He
• Nonclassical Rotational Inertia in Single Crystal Helium
• Local stress and superfluid properties of solid Helium-4
• Coexisting ordinary elasticity and superfluidity in a model of defect-free supersolid
• The discovery of superfluidity
• Intrinsic and dislocation induced elastic behavior of solid helium
• Classical and quantum filaments in the ground state of trapped dipolar Bose gases
• Dipolar and spinor bosonic systems
• Observation of Mass Transport through Solid 4He
• Probing the Upper Limit of Nonclassical Rotational Inertia
• Thermal History of Solid 4He Under Oscillation
• Vortex Fluid State below an Onset Temperature T_0 of Solid 4He
• Bose Einstein Condensation of incommensurate solid 4He
• Thermodynamic Evidence for Nanoscale Bose-Einstein Condensation in ^4He Confined in Nanoporous Media
• Observation of a new excitation in bcc solid 4He by inelastic neutron scattering
• Non-linear Elastic Response in Solid Helium: critical velocity or strain
• Bose-Einstein Condensate in Solid Helium
• Bose Einstein Condensation in solid 4He
• Theory of Cold Atoms: Basics of Quantum Statistics
• Interplay of Rotational, Relaxational, and Shear Dynamics in Solid 4He
• Upper limit of supersoldity in solid helium
• Mesoscopic Phase Separation in Anisotropic Superconductors
• Search for Superfluidity in Solid Hydrogen
• Absence of low temperature anomaly in the Debye-Waller factor of solid He-4
• Binding of a 3He impurity to a screw dislocation in solid 4He
• Quantum Plasticity and Supersolid Response in Helium-4
• Liquid-Solid Transition and Phase Diagram of ^4He Confined in Nanoporous Glass
• ${}^4$He Crystal Quality and Rotational Response in a Transparent Torsional Oscillator
• Simultaneous Measurement of Torsional Oscillator and NMR of Very Dilute 3He in Solid 4He
• Evidence for a High-Temperature Disorder-Induced Mobility in Solid ${}^4$He
• Dissipative superfluid mass flux through solid 4He
• A glassy contribution to the heat capacity of hcp ${}^4$He solids
• Simultaneous Measurements of the Torsional Oscillator Anomaly and Thermal Conductivity in Solid 4He
• Supersolid behavior in confined geometry
• A glass anomaly in the shear modulus of solid ${}^4$He
• Quantum dislocations: the fate of multiple vacancies in two dimensional solid 4He
• Observation of Macroscopic Structural Fluctuations in bcc Solid 4He
• Giant isochoric compressibility of solid Helium-4: the bistability of superlcimbing dislocations
• Dislocation induced anomalous softening of solid helium
• Ground-state properties and superfluidity of two- and quasi two-dimensional solid 4He
• Relaxation of superflow in a network: an application to the dislocation model of supersolidity of helium crystals
• Path Integral Calculations of exchange in solid 4He
• Supersolid ${}^4$He Likely Has Nearly Isotropic Superflow
• Finite size Berezinski-Kosterlitz-Thouless transition at grain boundaries in solid ${}^4$He and role of ${}^3$He impurities
• Superfluidity versus localization in bulk 4He at zero temperature
• Frequency-dependent Study of Solid Helium-4 Contained in a Rigid Double-torus Torsional Oscillator
• Excitations of amorphous solid helium
• No Effect of Steady Rotation on Solid ${}^4$He in a Torsional Oscillator
• Search for supersolid 4He in neutron scattering experiments at ISIS
• Tunnelling defect nanoclusters in hcp 4He crystals: alternative to supersolidity
• Quantum plasticity and dislocation-induced supersolidity
• Theory of real supersolids
• Roton-like mode in solid He-4
• Superfluid-like TO Responses in Rotating Solid Helium
• Microscopic approach to the bcc phase of solid 4He
• Surface instability and isotopic impurities in quantum solids